American put out in a cosy home — eastern spot European husband set up (11)
I believe the answer is:
anesthetize
'american put out' is the definition.
Although both the answer and definition are verbs in their base form, I don't see how they can define each other.
'a cosy home eastern spot european husband set up' is the wordplay.
'cosy home' becomes 'nest'.
'eastern' becomes 'e'.
'spot european' becomes 'zite' (I can't explain this - if you can you should give a lot more credence to this answer).
'husband' becomes 'h'.
'set up' is a reversal indicator (in a down clue, letters go up).
'e'+'zite'+'h'='eziteh'
'eziteh' back-to-front is 'hetize'.
'a'+'nest'+'hetize'='ANESTHETIZE'
'in' is the link.
Can you help me to learn more?