The most common and most likely answer to this crossword clue is the 5 letter word BRING
B
R
I
N
G
Buddy explains!

The straight part
We know that "transport" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case transport = bring.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.
What does BRING mean?
BRING verb- (ditransitive) To transport toward somebody/somewhere.
- To supply or contribute.
- To occasion or bring about.
- To raise (a lawsuit, charges, etc.) against somebody.
- To persuade; to induce; to draw; to lead; to guide.
- To produce in exchange; to sell for; to fetch.
- To pitch, often referring to a particularly hard thrown fastball.
- The sound of a telephone ringing.