Enter taxi by home, a wooden hut (3,5)
I believe the answer is:
log cabin
'a wooden hut' is the definition.
'log cabin' can be an answer for 'hut' (I've seen this before). I'm not sure about the 'a wooden' bit.
'enter taxi by home' is the wordplay.
'enter' becomes 'log' (log can mean to record or enter).
'taxi' becomes 'cab' (synonyms).
'by' is a charade indicator (letters next to each other).
'home' becomes 'in' ('he's home' can mean 'he's in').
'log'+'cab'+'in'='LOG-CABIN'
Can you help me to learn more?
(Other definitions for log cabin that I've seen before include "Type of chalet" , "Small wooden house" , "Hut, as in the Wild West" , "Pioneer's hut" , "Wooden home" .)