All fine and good until some starts using resume, the noun, as a verb: "Resume me and I'll forward it to my HR department."

Without the accents, when used as a noun, it is not likely to be confused with the verb. But we see this conversion of nouns to verbs regularly now. Text, email, instant message, Tebow....

With accents I'm reminded that this is an adopted foreign word and is pronounced diferrently than the spelling indicates. Still, I agree that the steps required to include the accent(s) seem a waste of time, since I would never use it as a verb myself. But, one look at my daughters' posts on Facebook or text messages, strengthens my resolve not to give in to the abbreviation, concatenation, and transmogrification of the written English language.

Keep the accents on résumé or one day some one might assume you meant resume.