1150-1200;Middle Englishmuche, moche, apocopated variant of muchel, mochel,Old Englishmycel; replacing Middle Englishmiche(l), Old Englishmicel great, much (cf. mickle), cognate with Old Norsemikill,Gothicmikils,Greekmégal-, suppletive stem of mégas great
c.1200, worn down by loss of unaccented last syllable from Middle English muchel "large, much," from Old English micel "great in amount or extent," from Proto-Germanic *mekilaz, from PIE *meg- "great" (see mickle). As a noun and an adverb, from c.1200. For vowel evolution, see bury.
Treat or consider as very important; also, pay someone a lot of favorable attention. For example, Bill made much of the fact that he'd been to Europe three times, or Whenever Alice came home for a visit they made much of her.
[ c. 1300