The most common and most likely answer to this crossword clue is the 5 letter word POMBE
P
O
M
B
E
Buddy explains!
The straight part
We know that "What’s enjoyed in Kenyan tavern" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case what’s enjoyed in kenyan tavern = pombe.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 POMBE mean?
POMBE noun- An African beer made from millet.