I think we're going to have to resort to OED; Webster seems a bit ambiguous:
[L. daedalus cunningly wrought, fr. Gr. ?; cf. ? to work
cunningly. The word also alludes to the mythical D[ae]dalus (Gr. ?, lit., the cunning worker).]

{the ?s come from an inability to transcribe Greek}

btw, a related word is logodaedaly, meaning the arbitrary or capricious coinage of words.