We had a plumber out to replace our outside hose bibs. After turning the water back on, one of our faucets in the house now has a drip. Its nowhere close to the area that the plumber worked on. Any reason why it would now drip? Could it be from the initial pressure of turning the water back on?
Turning the water off and on and getting the air bubbles back out of the pipes often loosens up "crud" in the pipes. Some of that crud may be stuck in the sealing part of the valve.
Try opening it all the way and running for a while, perhaps removing the aerator first. You might get lucky and have it work free of the valve mechanism.
In many cases the "crud" is somewhat rusty. It's generally harmless but unappealing - however, if a chunk large enough lodges in the wrong place, it can cause problems.