The most common and most likely answer to this crossword clue is the 5 letter word SEEDY
I've seen this crossword clue in The Daily Telegraph
S
E
E
D
Y
More clues leading to the result SEEDY
- Rough outskirts of Derby found on visit
- Disreputable bishop's office, disturbingly empty
- Threadbare children: yours, not ours!
- Notice decay at edges, squalid
- Look at both ends of driveway or be run down
- Run-down spot on the outskirts of Derby
- Sleazy date with daddy after vacation
- Squalid picture’s extremely dirty
- Run-down of view on Debussy’s limits
- Recording that’s pronounced shabby
Buddy explains!

The straight part
We know that "Unsavoury" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case unsavoury = seedy.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 SEEDY mean?
SEEDY adjective- Full of seeds.
- Disreputable, run-down.
- Untidy; unkempt.
- Infirm; unwell; gone to seed.
- Suffering the effects of a hangover.
- Having the flavour of seeds.
- Having a peculiar flavour supposed to be derived from the weeds growing among the vines; said of certain kinds of French brandy.