The most common and most likely answer to this crossword clue is the 7 plus 8 letter word BICYCLE RICKSHAW
I've seen this crossword clue in The Daily Telegraph
B
I
C
Y
C
L
E
R
I
C
K
S
H
A
W
Buddy explains!

The straight part
We know that "taxi" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case taxi = bicycle rickshaw.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.