I agree with dude that most commonly heard in the U.S. would be cell phone and not just cell.
Sure, someone, even I, might say quickly..
"Here's my email address or just call me on my cell at xxx-xx-xxxx."
But this shortened form is most common when the speaker is stressing a distinction between a landline and a cell phone number or an email address or a cell phone number, etc.
If I am specifically referring to the object, the phone itself, I'm pretty sure I'd be stressing the phone part and not the word cell... so it would definitely be:
"Stop fooling around with that cell phone" or even just..
"Stop fucking around with my phone!"... but never:
"Stop fucking with my cell!".. Sorry, but that just sounds way wrong and I'm sure other Americans would agree..