As an adjective punny
is involving the use of a pun.
As a noun punniness is
the state or condition of being punny.
punny
English
Adjective
(er)
Involving the use of a pun.
(of a person) Who makes puns.
See also
* puny – small
punniness
English
Noun
(-)
The state or condition of being punny.