ELCBK said
If it's not specifically an archival quality adhesive, you might consider some good adhesive used in garment/craft making that is reposition-able (cause you want to be able to take the chamois off to wash & not damage the wood). 
Aleene's Tack-It Over & Over - thick liquid that won't harm the wood, but will hold the chamois.
  

Yes, I'm familiar with the spray-can repositional adhesives from student-newspaper publishing, but spray might harm the violin, and also the Scotch stuff is three times the price of the European stuff which Amazon won't deliver to the UK. I'll check out Aleene to see if it's available here. AI tells me its pH value is 4.5, which is probably less harmful to wood than something caustic.

ELCBK said
The link I gave you is for a thick liquid, but a much less messy alternative is a thick, removable Acrylic Gel Tape adhesive, like THIS from Wotec.
  

Thanks. This seems to be the UK equivalent. I've just ordered a reel.