Puck ranks #832 with 141 male registrations. The name is one of the more literary picks on the pet registry, drawing primarily from A Midsummer Night's Dream's mischievous fairy and from English folklore's Robin Goodfellow tradition.
The Shakespeare-folklore register
Puck in Shakespeare's 1595 play is the household sprite who turns Bottom into a donkey and squeezes love-flower juice in the wrong eyes. The name carries a specific meaning by literary association: small, fast, mischievous, slightly chaotic, deeply lovable. Owners who pick Puck for a dog or cat are usually labeling exactly that personality, which is why the name lands disproportionately on terriers, Jack Russells, and shorthair cats whose temperament matches the role.
Sound and call-name fit
One syllable, hard P opening into a short U and a sharp K close. The shape calls cleanly outdoors and works well for recall in a chaotic park context. Puck also pulls a smaller second cluster from hockey fandom (the rubber disc) which lands on dogs in hockey-coded households. See the wider pet name index for adjacent picks. See the Jack Russell cluster for the temperament fit.
The counter-reading
The honest concern is that Puck is a one-trick name: the literary reference is the entire pitch, and households who don't know A Midsummer Night's Dream will hear it as a hockey or sports reference instead. That's not necessarily a problem, but it does mean the name carries different weight depending on the audience. The human Puck page shows essentially zero SSA presence; this is pet-only territory.