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I had a look and couldn't see anything about the 2nd just the services for hogmany and new years day services, maybe someone else would have better luck finding out?
Found This:-
2 January
Saturday service with the following alterations:-
• 0608, 0638, 0708 and 0738 Glasgow Central to Paisley
Canal cancelled
• 0631, 0701, 0731 and 0801 Paisley Canal to Glasgow
Central cancelled
Seeing as were not going before 7.30am I'm pretty sure were o.k.