New American Dream Dictionary

by Joan Seaman - Tom Philbin
1. Feelings of fondness, affection (to call or think of someone by a pet name or nickname).

2. A message is being con­veyed about personal attributes or upcoming dilemmas (to re­ceive or give a nickname; note the name).

3. Happiness and success.

The Complete Guide to Interpreting Your Dreams

by Stearn Robinson - Tom Corbett
Calling anyone by a nickname—or vice versa —in a dream is a caution to stick to well-established paths for yet a while; the old and new will blend better at a later time.

Mystic Dream Book

by Internet Archive - Anonymous
It is a good omen to hear people call you by a familiar Nickname in your dream.