Time in the morning old man appears in US city (5)
I believe the answer is:
tampa
'us city' is the definition.
(I've seen this before)
'time in the morning old man appears' is the wordplay.
'time' becomes 't' (abbreviation).
'in the morning' becomes 'am' (short for ante meridiem - before noon).
'old man' becomes 'pa' (both can mean someone's father).
'appears' means one lot of letters go next to another (some letters appear after others).
't'+'am'+'pa'='TAMPA'
'in' acts as a link.
(Other definitions for tampa that I've seen before include "American city" , "Resort in W. Florida" , "Floridian resort" , "US city" , "City in Florida" .)