I Don't Fancy Yours Meaning

(slang, idiomatic, humorous) Used to reserve the right to chat up an attractive woman, who is with an unattractive woman.

Example: 1977, Edwin Brock, Here, now always
  "I don't fancy yours!" I said to Davoh, and broke into a trot to reach her first.
  "Finders, keepers!" I puffed as I drew alongside. She grinned, tossed her dark hair and went on talking to her friend about something too important to be interrupted...