Hi!
Sounds like muscle spasms, but I'm not a doctor, nor do I play one on TV.

But I was on Enbrel (took 6 doses) and just went on hold for a month because I seem to have nerve issues. I had pain and tingling in L leg before even starting the Enbrel, and later developed same in L arm. (Have a thread titled 'nerve root pain', or something like that) Rheumy is being cautious...pain doc suspects entrapments in lumbar and cervical spines and I'm having testing to see what's up.
If getting yourself warm stopped the spasms, that's good (and makes it more likely to be muscle in origin). But if it continues like you describe, it probably wouldn't hurt to have someone check it out. I plan to do the same thing if my MRI/nerve studies turn out 'normal'. No med is worth getting MS.
If I read your post right, you don't feel any different off the Enbrel than on it? Or was it that the tingling/spasms didn't feel any different?