close
The shop will close close to 5 PM.
The sentence states that the store will end its operations near 5 PM.

Meanings
to shut; to bring to an end; to terminate operations
- Please close the door behind you.
- The factory will close at the end of the year.
near in space or time; nearby; approximately
- She lives close to the train station.
- We came close to winning the championship.
Word origin
Both senses descend from Latin clausus, the past participle of claudere ('to shut, close'), but with different routes through Old French. The verb /kloʊz/ came through Old French clore meaning 'to shut.' The adjective /kloʊs/ came through a different Old French word clos meaning 'enclosed, near' — the sense of 'near' developed from 'shut up against, in close proximity.'
Fun fact
The /z/-vs-/s/ ending is the regular English voicing alternation seen in 'use', 'house', 'abuse', and 'advise/advice'. In each case the verb voices its final consonant; the noun or adjective leaves it voiceless — a fossil from Old English derivational morphology.