down at heel 
adjective
1(Of a shoe) with the heel worn down.On the other hand, you could write, of the same individual: His shoes were down-at-heel and his raincoat was streaked with dirt....
- Chinese servants should not (strictly speaking) appear before their masters in short clothes, nor without socks, nor with shoes down at heel, nor with their tail tied round the head.
- Make sure your shoes are well polished and not down-at-heel
2Having a poor, shabby appearance: down-at-heel areas...
- Had I gone at 17 I have no doubt I would have been staying in a down-at-heel guest house.
- Both are better bets than the rather down-at-heel Caruso Belvedere.
- Vince Vaughn is Peter, a likeable slacker who runs the down-at-heel Average Joe's Gym.
Synonyms
run down, dilapidated, in disrepair, neglected, uncared-for, unmaintained, depressed;
seedy, insalubrious, squalid, sleazy, slummy, seamy, sordid, dingy, mean, wretched
informal crummy, scruffy, scuzzy, grungy
British informal grotty
North American informal shacky, skanky
scruffy, shabby, shabbily dressed, poorly dressed, shoddy, ragged, out at elbows, tattered, mangy, sorry, disreputable;
unkempt, bedraggled, messy, dishevelled, ungroomed, ill-groomed, sleazy, seedy, slatternly, untidy, slovenly;
dirty, squalid, filthy
informal tatty, the worse for wear, scuzzy, grungy, yucky
British informal grotty
North American informal raggedy