It's funny you should post this thread at this time, I had a similar problem (to a lesser extent), I found my own method of solving it which I am happy to share with you.
When I started salsa dancing and listening to salsa music I soon discovered the concept of clave, and as an amateur percussionist of a number of years I could hear the clave in most tunes. But other tunes I was less sure if not downright confused, however I wasn't too bothered. Then earlier this year I decided to study Afro Cuban percussion (i.e. the rhythms on salsa tunes) and I discovered that certain instructors (including certain instructors who have been playing since the mambo era and are considered greats of Latin percussion) seem to say that, pretty much from day 1, percussionists should base their patterns around the clave. Result - I had to learn to identify clave better.
So how did I improve my clave reading skills?
Put a salsa CD on, anything really (well not reggaeton or salsaton as the clave may be overshadowed by the hip hop influenced beats, and avoid merengues, cha cha, bolero, bomba, plena etc - they might have a clave but stick to salsa.) For each tune, clap the clave along with it. Some tunes the clave is actually very audible, in which case still clap so you can hear how it impacts on the music. For most tracks the clave is implied which is why you have to learn to identify it.
So, the tune is playing and you're not sure if it's 2-3 or 3-2. Just try one of the 2 and stick to it, and memorise which one you're trying.
As an example: you're confused but you think it's 2-3, so you clap 2-3 along with the tune. Now, after a minute you start having doubts, so change to 3-2 and clap along, but remember you started off with 2-3. How does it sound now? Eventually you might realise 3-2 is definitely wrong, so therefore it must be 2-3. Or you might realise 3-2 is definitely right, obviously it depends on the tune. Now here's the trick - stop the track and replay it from the top (that's musicians' slang for 'from the beginning') with you clapping the clave that you think you've identified. Clap it all the way through - listen to how it fits with the tune.
Still not 100%? Try clapping the opposite clave, from the top right to the end, eventually you will hear that one is definitely clashing with the music, therefore the other one is right. And clap the one that is definitely right, all the way through the track as you realise how the tune fits with the clave. Still not sure? Just choose the one you think and clap all the way through, then try the other one - after a while one of them will definitely sound wrong.
But please be sure you know exactly how a clave should sound - a major part of identifying clave is knowing that the 3 side starts on the 1 beat whilst the 2 side starts on the 2nd beat.
Also, be aware of the difference between rumba and son clave - most US salsa uses son clave but some uses rumba, and a lot of timba uses rumba clave. And some tunes actually switch from son to rumba. As I say, if you're using US salsa it will very probably use son clave.
Also be aware of clave change - a misnomer: the clave stays the same but the rest of the tune misses 4 beats so the song goes from 2-3 to 3-2 or vice versa.
When I was learning I considered going on this forum and asking people to check my clave identification skills or to identify the clave for me, but I honestly think you are better working it out for yourself.
To recap, stick to one song all the way through and keep going trying a clave, then try the other until one sounds wrong, then clap with the one that must be right, and hear how the band fit with the clave.
Even now on certain tricky tunes I can spend ages working out the clave, generally speaking I can get the clave of most tunes quickly and so can anyone.