HPV testing in the oral environment isn't generally doable except for suspect tissues that are being biopsied by punch or incision. Brush swabs in the oral environment are not the same as cervical swabs, the possible areas to collect from are too extensive to collect from with any certainty. The cervix is a very small area, and even that is a hit and miss blind brush cytology. There are some institutions that are working on a swish collection system but that hasn't been sorted out well enough to put into general practice yet. So you are asking for something that there is no manner to do accurately right now.

Without any conclusive evidence that cell phone transmissions cause cancer, I will just offer this observation. I think it is safe to say that everyone uses a cell phone these days, and given that, it is likely that 50% of oral cancer patients got their cancer on the side they used their phone on. This is of course has nothing to do with the cell phone, but with odds.