The first eight overs of day four were wicketless before Fisher ended Tribe’s lengthy vigil after a breakthrough knock, ripping out his off stump, and then having Andy Gorvin lbw fourth ball.
Championship debutant Ben Morris glanced a boundary to register his first senior red-ball runs before James Harris decided to have some fun, blasting 14 runs off a George Hill over before being bowled for 49, heaving at Thompson.
Yorkshire need just a draw and two bonus points from their final Championship match at home to Northants starting on Thursday, 26 September, while Glamorgan have their key 50-over clash at Trent Bridge on Sunday to try to redeem a disappointing month.