I generally don't remove the tick. I usually just spray it with a flea/tick spray and let that do it's job. I tell the owners that I did not and do not remove them and that the tick is dead or dying and will fall off on it's own. I explain that often times you can end up with an open wound where it was attached. I then smile, chuckle, and tell them that blood and open wounds never look good after a grooming.
So far it's worked out well that way.
If you don't go after what you want, you'll never have it. If you don't ask, the answer is always no. If you don't step forward, you're always in the same place.