Eagerly consume one New Hampshire beer (6)
I believe the answer is:
inhale
'eagerly consume' is the definition.
'inhale' can be an answer for 'consume' (thesaurus). I am not sure about the 'eagerly' bit.
'one new hampshire beer' is the wordplay.
'one' becomes 'i' (Roman numeral).
'new hampshire' becomes 'NH' (abbreviation).
'beer' becomes 'ale' (type of beer).
'i'+'nh'+'ale'='INHALE'
Can you help me to learn more?
(Other definitions for inhale that I've seen before include "Draw breath" , "drag" , "Whiff" , "Draw in air or smoke" , "Draw air into lungs" .)