There have been several reports of detectable polyspermy in honey bees, but it
appears to be an exception to the rule.  Woyke has summarized these in his
chapters in Ruttner's book on instrumental insemination (1969, Apimondia),
and his chapter in Rinderer's book on Bee Genetics and Breeding (1986, Academic
Press).
The other question of the month (in a lighter vein) is:
When becalmed in the Doldrums, why do sailors never go swimming?