The most common and most likely answer to this crossword clue is the 7 plus 7 letter word CLAPHAM OMNIBUS
C
L
A
P
H
A
M
O
M
N
I
B
U
S
More clues leading to the result CLAPHAM OMNIBUS
Buddy explains!

The straight part
We know that "transport for the ordinary man" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case transport for the ordinary man = clapham omnibus.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.