Please, no longer extravagantly tip here (7)
I believe the answer is:
prithee
'please' is the definition.
(I've seen this before)
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for prithee that I've seen before include "Old request" , "Please! (Old English)" , "Please - tip here (anag)" , "Please (archaic)" .)