1950s: from the earlier noun beezer, denoting something large or impressive.
beezer
WIKIMEDIA DISAMBIGUATION PAGE
Beezer (disambiguation)
A person who gives ostentatious kisses in public with an eye to being seen at it. She always makes kiss kiss in the club, whether she knows the person at all. A complete beezer.
The Beezer Book
BOOK THAT HAD BEEN PUBLISHED EVERY YEAR SINCE 1957, TO TIE IN WITH THE CHILDREN'S COMIC THE BEEZER
The Beezer Annuals; The Beezer Annual
The Beezer Annual was the final name of the book that had been published every year since 1957, to tie in with the children's comic The Beezer. Forty-six were made over the years.