Urge a principal to make quick progress (5,5)
I believe the answer is:
press ahead
'make quick progress' is the definition.
I don't know anything about this answer so I can't judge whether this works.
'urge a principal' is the wordplay.
'urge' becomes 'press' (synonyms).
'principal' becomes 'head' (synonyms).
'press'+'a'+'head'='PRESS AHEAD'
'to' acts as a link.
Can you help me to learn more?
(Other definitions for press ahead that I've seen before include "Keep on" , "Move forward" , "Persevere" , "Go on" , "carry on in spite of opposition" .)