The state one may be in due to drinks (about ten) (5)
I believe the answer is:
texas
'the state' is the definition.
(Texas is an example)
'drinks about ten' is the wordplay.
'drinks' becomes 'teas' (tea is a kind of drink).
'about' means one lot of letters goes inside another.
'ten' becomes 'X' (Roman numeral).
'teas' enclosing 'x' is 'TEXAS'.
'one may be in due to' acts as a link.
This may not be right. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for texas that I've seen before include "America's Lone Star State" , "Second-largest US state by area" , "Southern US state" , "American state, capital Austin" , "State on the Gulf of Mexico" .)