As with so may issues in relation to town & parish councils, the situation appears to vary greatly according to personalities, experience and the suitability / qualification / experience / capability of those involved.
It is for the Chair, not the clerk, to manage the effective progress of agenda business at a PC meeting.
Sometimes that will require a firm hand to keep Cllrs (local and higher tier) and members of the public on the desired track. Sometimes it will require a less directive approach if time, business and interest demands greater focus on a given issue.
It is, in any case, for the COUNCIL to determine, via Standing Orders, the maximum time allocated to speakers (all speakers - Cllrs and public) and it is for the Chair to implement effective management of the progression of the meeting to allow that which needs to be done / said to be done / said.
A higher tier Cllr willing to attend a PC meeting is a luxury that not all PCs enjoy - embrace it as a valuable contribution and perhaps ask the Chair to liaise with the higher tier Cllr to explain what the PC actually wants and needs from them (and what they don't want!) Overt public criticism of their council could stand the higher tier Cllr into conduct issues so a tactful discussion might be worthwhile at several levels!