Actually, with fin clipping, it depends. The complete removal of a pelvic or pectoral fin: nope, won't grow back. Most marking is done by removing a small portion of the caudal, anal, and pelvic fins; regrowth is possible, even probable with good water conditions and feeding. These areas are often clipped to use for recapture on population estimates, and the amount of regrowth can determine if a fish was indeed captured on a previous years estimates.
As long as the fish has either pelvic of pectoral fins, and a significant portion of it's caudal fin, it should be okay, though not as agile a swimmer. In tagged fish, there has been no documented detriment caused by the marking. I've assisted in marking graylings--we used a hole punch to remove a section of the caudal fin. There were several fish captured which had a portion of their pelvic fin missing, but with clear signs of regrowth, indicating they had been marked in the previous year.
As long as the fish has either pelvic of pectoral fins, and a significant portion of it's caudal fin, it should be okay, though not as agile a swimmer. In tagged fish, there has been no documented detriment caused by the marking. I've assisted in marking graylings--we used a hole punch to remove a section of the caudal fin. There were several fish captured which had a portion of their pelvic fin missing, but with clear signs of regrowth, indicating they had been marked in the previous year.