Via, Ollie, and Livvy are popular. My favorite is Liv, especially as used by Detective Stabler while flexing and chasing perps in NYC.
Famous people named Olivia:
Gladiator Olivia Pope from Scandal; Olivia Newton-John; Olivia Benson from SVU.
This name was first used in this spelling by William Shakespeare for a character in his comedy Twelfth Night.
100+ Middle Names As Sweet As Your Baby Girl, Ultra-Feminine Girl Names Ending In ‘ia’, Outstanding O Names For Baby Girls, Baby Girl Names From Children’s Books, Ava And Beyond: Girl Names With “V” In The Middle, Top 25 Most Popular Girls’ Names In Britain and Wales,