An apparatus and method are disclosed for splicing webs (14,18) such as photographic film in which the lead end of a new web and the tail end of an old web are trimmed at the parallel edges (82,84) of their input platens (36,38) and then shifted into abutment for application of a strip of tape. An automatic tape dispenser (128) cuts tape into predetermined lengths, transfers the lengths to a vacuum applicator wheel (130) and then rolls the lengths across the abutted lead and tail ends.