Adjective

1
beg-puss: A desperate male that exudes desperation
(craving the puss). He is likely to throw cock at puss at any given opportunity, with no shame what-soever.

2
begging the puss; A shameless individual displaying extreme desperation
to get the 'puss'
Beg-puss (Begging the puss)
Example 1:

Mark: Did you see how Paul was going on last night?
Dave: Yea he was going on like a proper 'beg-puss'.

Example 2:

Sharon: Mary, Your man wouldn't leave me alone last

night. He wouldn't stop begging the puss.

Mary: What you calling my man a beg-puss?
Get the beg-puss (begging the puss) mug.