Is there a single-word verb meaning “to perform cunnilingus on”?

The single word for to perform fellatio on is the verb fellate.

Is there an analogous word for cunnilingus?

The OED provides the obvious answer for the corresponding verb under its headword for the noun cunnilingus, which is of course (to) cunnilingue:

ˈcunnilingue v. trans. and intr.

to practise cunnilingus (on).

• 1887 L. C. Smithers tr. Forberg’s Man. Class. Erotology v. 122
  A man who is in the habit of putting out his tongue for the obscene act of cunnilinging.
• 1905 Havelock Ellis Stud. Psychol. Sex. IV. 21
  Cunnilingus was a very familiar manifestation in classic times;..it tends to be especially prevalent at all periods of high civilization.
• 1969 G. Legman Rationale of Dirty Joke viii. 566
  A man comes home and finds the vicar cunnilinguing his wife.

The OED does provide other citations as well, but those should suffice to illustrate the matter without risking too much undue titillation or cachinnation in those prone to such.

If one were prone to abstruse extended senses and polypuns, I suppose that cunnilingue might also be what one does during a notably succulent course of Hasenpfeffer.

There's a good old-fashioned word (popular in Victorian erotica, but sadly fallen out of favor) that covers both fellatio and cunnilingus: gamahuche. Let's bring it back!

It's a transitive verb ("I'm going to gamahuche her") as well as a noun ("She says I give great gamahuche.")