I have the same symptom and I haven't been able to get rid of it for a year. My case is still under medical investigation, so I haven't had a definitive diagnosis, and the neurological problem may not even be in the elbow, but I do also have problems with elbow tendinitis, which definitely are squat-related.
When I was in the initial, most acute, phase the problem was clearly exaggerated by elbow flexion, so I had to make a conscious effort not to keep my elbow bent (particularly when sleeping). I've also switched to a thumbs around, bent wrist grip on the squat as that puts less strain on my elbows.
A downside of having had ulnar nerve problems for a while now is that my pink finger now naturally curls in towards the palm at rest. Thankfully I have no functional deficit, but living with it is an irritation.