people who are obsessed with time are called really annoying and anal! lol
But seriously, the term is called timeophile-
or chronophile for the obsession of devices that record time (watches clocks, calendars etc)
It could be a chronophile (one who is obsessed about time).
meterologist
meterologist
vamp freaks
Lycanmaniac --------------------------------------------------------------------------------------------------------- Lycanophile??
Party pooper?
You !
skull collector
sociopath
Workohalic or social
an astro nut!
Someone who is obsessed with themselves is commonly referred to as narcissistic or self-absorbed.