A very special, undisturbed, quality time with yourself, especially when travelling.
Example Nr. 1
Dude Nr. 1: Hey, that was a long shower there! You had some hamish time, didn't you?
Dude Nr.2: Yeah, been sleeping in dorms for months now, gotta have some hamish time once in a while.
Example Nr.2
Dude Nr. 1: Hey, are you going on this awesome tour that the hostel offers? Looks like it's a lot of fun!
Dude Nr. 2: I'd love to but I'm really in need for some hamish time and I'm happy everyone from our dorms is leaving for the day.