The most common and most likely answer to this crossword clue is the 5 letter word HYTHE
I've seen this crossword clue in Financial Times
H
Y
T
H
E
Buddy explains!
The straight part
We know that "Kent port" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case kent port = hythe.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 HYTHE mean?
HYTHE noun- A landing-place in a river; a harbour or small port.