A little update on the problem I originally reported, just incase someone encounters a similar problem.
It turns out it the culprit wasn't T1, which others here had suggested to me was unlikely.
After unsuccessfully trying replacement equivalent Q1 & Q2 transistors, I then decided to reinstall the original transistors that weren't originally working.
Then mysteriously after putting the same transistors back in my Tr-707 it started working again and no longer was switch off after 30 seconds or so. Its been working for the last 4 weeks without a problem.
Very strange maybe it was a bad solder joint, or one of the transistors was behaving funky but has now decided to behave..
Oh well, happy days, I have a working 707. Time to make so techno :)