Venetian prince has daughter to avoid (5)
I believe the answer is:
dodge
'avoid' is the definition.
(dodging is a kind of avoiding)
'venetian prince has daughter' is the wordplay.
'venetian prince' becomes 'doge' (I can't explain this - if you can you should give a lot more credence to this answer).
'has' indicates putting letters inside.
'daughter' becomes 'd' (genealogical abbreviation).
'doge' placed around 'd' is 'DODGE'.
'to' is the link.
Can you help me to learn more?
(Other definitions for dodge that I've seen before include "Avoid or attempt to" , "Avoid - ruse" , "A quick evasive movement" , "Sidestep with trick?" , "Evade cunningly" .)