...beginning to fund old rugby arenas for meetings (4)
I believe the answer is:
fora
'meetings' is the definition.
(forum is a kind of meeting)
'beginning to fund old rugby arenas' is the wordplay.
'beginning to' indicates taking the first letters.
The initial letters of 'fund old rugby arenas' is 'FORA'.
'for' is the link.
(Other definitions for fora that I've seen before include "Areas of discussion" , "Roman public squares" , "markets in Rome" , "Discussion meetings" , "discussions here" .)