In case you weren’t already aware the 5 speed gearbox isn’t very reliable. A symptom of failure is a high pitch whine, that said 60K miles isn’t much.
Gear oil renewal isn’t part of the VW scheduled servicing but I’d highly recommend doing it now and carefully testing the drained oil for metallic debris.
If there isn’t any debris the gearbox will almost certainly still be OK and the oil change will probably increase the mileage before the gearbox fails.