I just saw the following on the Halacha for Today email:
I recently davened at a minyan where the shliach tzibur checked the tzitzit on his tallis, thereby delaying the start of mincha by a few monemts past the scheduled time. Was this proper?
Although it is important for the Public Talis to be checked as often as possible, it should not be done at the expense of the waiting Tzibbur. Rather, the Shatz should try and do it a moment or two before the scheduled time.