It is the current local time right now in West Island and in all Cocos (Keeling) Islands’ cities. 
Cocos (Keeling) Islands’ time zone: +0630 or UTC+06:30

No daylight saving time (DST) in Cocos (Keeling) Islands.

Full name: Cocos (Keeling) Islands
Continent: Asia
Region: Australia and New Zealand
Population: 628
Area: 14 km²
Capital: West Island
Currency: Dollar (AUD)
Phone code: 61
Domain: .cc
Wikipedia article: Cocos (Keeling) Islands