Tense local abandoning female’s lofty abode (4-5)

I believe the answer is:
tree-house
'tense local abandoning female's' is the definition.
I can't judge whether this defines the answer.
'lofty abode' is the wordplay.
'lofty' becomes 'tree' (I can't justify this - if you can you should believe this answer much more).
'abode' becomes 'house' (I've seen this before).
'tree'+'house'='TREE-HOUSE'
Can you help me to learn more?
I've seen this clue in The Times.
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