First things first: I looked it up in my paper dictionary (Not Real Big) -- and it's not there. No huge surprise. So I dug further and discovered that "deliciate" is an obsolete word having gone out of fashion around the turn of the 19th/20th century.
My spelling checker also says it's a misspelled word, but I've always taken it for granted that the folks that put words into the spell checker are fairly ignorant of words that aren't in the lexicon of daily use. When in doubt - try looking up a word by yourself (as you did, Chris). I eventually found some information online.
Deliciate: To take one's pleasure, to luxuriate, to indulge in feasting, to delight one's self.
