Emerging through the apprenticeship and reserve ranks, Marwood developed into one of the finest players ever to have worn the Tigers' colours during the modern era. His speed and trickery on the right wing were crucial components in the success enjoyed by the club during the 80's. His last game for the club was a 2-0 victory at Burnley in the final game of the 83/84 season. Marwood scored both goals but it was not enough as the Tigers needed to win the game by a three-goal margin to ensure promotion. Failure to do so left Marwood distraught. Naturally disappointed, his emotions were perhaps compounded by the fact that his penalty misses earlier in the season had proved costly. He had no need to reproach himself for his contribution had been key in getting the Tigers so close in the first place, and besides, promotion was to be delayed for only another season. Unfortunately, Marwood would not be part of it.
During that close season Marwood moved on to bigger and better things, firstly with Sheffield Wednesday and then Arsenal with whom he won the League Championship in 1988/89 - although injury prevented him from playing in the latter stages of that campaign. It was also with Arsenal that he received international recognition, a fitting tribute to a fine player.