I don't post much anymore, mostly because I have lost interest in debating points of view and it is hard to avoid this if you offer any. This and I am a long winded and not infrequently annoying old fart. But I thought I could offer a few relevant insights here that have arisen throughout the years of practice.
Jhana can be problematic for meditators, particularly due to the ways that many people go about practicing these days. Often people only have a half hour or hour or so per day or occasional longer retreat times when they can practice. Naturally, despite the many common warnings and disclaimers, when blissful or very pleasant episodes or experiences arise these can tend to become objects of repeated reflection for some time afterward and as often this can have the result that returning to those same kinds or similar kinds of experiences is all the more difficult.
In the case of jhana the discourses and related commentaries offer very clear criteria for determining whether or not one has or has not actually entered one or another jhana. A careful study of the related literature, relevant discourses, commentaries and more recent texts is a helpful, informative, beneficial and frequently invaluable preliminary study. It's important to remember that the basic preliminary meditative criteria for jhana practice is practicing towards developing mental qualities supportive of the absence of the hindrances and so the subject of the hindrances is also an important study as an absence of the hindrances is the first practical preliminary for progress in vipassana or insight practice as well.
In preparation for both practices the preparatory work is centered in recognizing or discerning the differences in mental qualities, overcoming and abandoning unwholesome and harmful mental qualities and cultivating and developing appropriate mental qualities. It is best to continue on with this foundational work for as long as necessary as this foundation of overcoming the hindrances is going to serve as the platform for everything that follows and one will need to return to this focus again and again on any and every occasion that calls for doing so in the future course of meditative practice.
The jhanas eventually have occasions to occur for most of those long term and/or energetic and committed practitioners who have put in the necessary preparatory time and effort. The jhanas generally live up to the descriptions given in the texts even if these do not appear quite as one may have imagined them to be when one had no such experience. One will note that the mental qualities that are described in the discourses as necessary components of these states are present and that these are more or less all that is presenting to consciousness at these times. One will also note that development of jhana is progressively subtle and progressively accessible and serves as the natural compliment to vipassana practices. Most commonly jhana arises spontaneously and unexpectedly for people in the course of vipassana practice unless someone has chosen to make tranquility practice their primary aim and is willing to devote considerably more time and effort to developing the related mental qualities. I recommend focusing on the removal of the hindrances and then turning to practicing satipatthana or vipassana, allowing the jhanas to arise more naturally in the course of these practices when the mental qualities arising at opportune moments are suitable.
The jhanas, when briefly encountered, can become problematic at times for meditators who do not have the time, energy or motivation for many hours of daily meditation for years on end. For those who meditate for short periods of time and/or inconsistently even pleasant, peaceful and blissful mental qualities and like experiences that fall short of jhana can be problematic. Among the reasons for these difficulties can be a general lack of experience with mental qualities, less experience with overcoming the hindrances, less familiarity with long periods of uneventful meditation practice, less skillfulness with the practices and a lack of understanding of how much commitment and effort is really generally necessary for most people to make slow but steady long term progress with meditative practices.
The common result of a relative shortfall of experience is that when very pleasant kinds of mental qualities and even more so if and when jhana arises these moments can be difficult to prolong or give rise to again because due to subsequent excitement, agitation, anxiety and so on mental qualities opposed to the recurrence of the appropriate qualities inhibits the necessary calm that naturally serves as the basis for the rearising and continued development of pleasant, blissful, one pointed and other jhana supportive mental qualities. This is how pleasant mental qualities and experiences of jhana can become obstacles for further progress for meditators. Due to such fixations, anxieties and agitations and so on about revisiting various pleasant qualities the meditator may loose sight of the necessary preliminary goals of overcoming the hindrances, calming the mind and nurturing wholesome and beneficial mental qualities.
Supermundane jhana, although perhaps somewhat of an unnecessary classification or label, is, imho, most likely a suitable description for what experience of jhana can be more like after one has completed the full course of vipassana to the extent that progressive insight have given rise to realization and understanding and one has become a 'stream enterer' and so on. When one has become sufficiently familiar with the five aggregates, the three characteristics, the vipassana nanas and dependent origination that one can observe the overcoming of at least the first three fetters then one is also in a position to examine the mental qualities of jhana with a similar absence of recursive thought, misconception and with the more consistent presence of discernment.
The long term result of quite extensive exposure to jhana and the application of continued discernment is that jhana is not seen as the sort of delightful and attractive sort of experience that it was when one first became acquainted with these same mental qualities. With longer term familiarity and the clarity that insight, discernment, realization and understanding bring to bear on jhana, jhana is simply more dukkha, composed of the same dependently originating conditionality as any and all other cognizable forms, sensations, feelings, thoughts and mental qualities. True, jhana is clearly valuable as a skillful means for burning up the hindrances, establishing calm and equanimity for satipatthana and vipassana and for developing the path to nibbana but jhana for the sake of jhana, even 'so called' supramundane jhana is not the kind of trap it is for those skilled in jhana and vipassana that it can be for meditators with far less extensive and long term experience. Supramundane jhana is supportive of very refined satipatthana, vipassana and other practices, for examination of the asavas and development of the higher paths.
If supramundane jhana or even mundane jhana is ones objective then the best course of action is to undertake the related studies, practice towards overcoming the hindrances and committing to long term vipassana. Jhana and with stream entry supramundane jhana will be the result of undertaking this work with whatever time, effort and commitment proves necessary.

But whoever walking, standing, sitting, or lying down overcomes thought, delighting in the stilling of thought: he's capable, a monk like this, of touching superlative self-awakening. § 110. {Iti 4.11; Iti 115}