I don't know the answer to this but I would be interested to see what others say.
I would think you would have to remove it when using the sunbed as otherwise the insulin will get hot which may stop it working or reduce its effectiveness. You could reattach it afterwards.
Sorry this may seem a little dumb :/.. I know very little atm, so do you just detach the pump clip and pump itself and leave the other part in? Or detach the whole thing an go on a day you need to change it? (Sorry I have no idea what the little tubing and sticker thin is called yet lol)
Yes just take the pump bit off leave your set in where the plaster bit is it should just slide out with a squeeze of the sides or some twist. set it somewhere not near the light off the bed and you'll be fine. I doubt the sunbed people will have a clue.