It is well established that speakers accommodate in speech production. Recent work has shown a similar effect in perception--speech perception is affected by a listener's beliefs about the speaker. In this paper, we explore the consequences of such perceptual accommodation for experiments in speech perception and lexical access. Our interest is whether perceptual accommodation to one speaker--the experimenter who meets participants, for example--might have carry-over effects on participants' behavior in subsequent tasks that do not directly involve the experimenter's voice. We explore this possibility by exposing groups of participants to different varieties of English before they participate in experiments involving speech perception and/or lexical access. Our results reveal that the nature of this prior exposure considerably influences participants' behavior in the tasks. This suggests that the phonetic detail of encountered speech is stored in the lexicon, together with information about the speaker's regional origin. Subparts of phonetically detailed lexical distributions can then be effectively "primed" by exposure to speakers or lexical items associated with particular dialects. We argue for an exemplar model of lexical representation with both word-level and phoneme-level representations. The consequences of cross-dialectal priming vary, depending on whether tasks involve primarily word-level or phoneme-level access. (Contains 14 tables, 6 figures, and 4 notes.)