Fasten roughly around yuppie, cutting every other fastener (6,3)
I believe the answer is:
safety pin
'every other fastener' is the definition.
'safety pin' can be an answer for 'fastener' (safety pin is a kind of fastener). I'm not sure about the 'every other' bit.
'fasten roughly around yuppie cutting' is the wordplay.
'roughly' indicates an anagram.
'around' means one lot of letters goes inside another.
'yuppie cutting' becomes 'ypi' (I can't justify this - if you can you should believe this answer much more).
'fasten' is an anagram of 'safetn'.
'safetn' going around 'ypi' is 'SAFETY-PIN'.
Can you help me to learn more?
(Other definitions for safety pin that I've seen before include "Fastener with covered end" , "Grenade release mechanism" , "Point-concealed fastener" , "Fastening device with protective catch" , "This should not be removed" .)