Well, NALC/SLCC do suggest putting the Proper Officer in charge of the agenda, but these requirements cane be altered if the Council adopts alternative Standing Orders:
"a The Proper Officer may, before including a motion on the agenda received in accordance with standing order 9(b), correct obvious grammatical or typographical errors in the wording of the motion.
b If the Proper Officer considers the wording of a motion received in accordance with standing order 9(b) is not clear in meaning, the motion shall be rejected until the mover of the motion resubmits it, so that it can be understood, in writing, to the Proper Officer at least ( ) clear days before the meeting.
c If the wording or subject of a proposed motion is considered improper, the Proper Officer shall consult with the chairman of the forthcoming meeting or, as the case may be, the councillors who have convened the meeting, to consider whether the motion shall be included in the agenda or rejected.
d The decision of the Proper Officer as to whether or not to include the motion on the agenda shall be final."
Public contributions are not formally part of the meeting (not under Standing Orders) so care must be taken to limit debate to a brief discussion of the issue raised and a direct answer if this is possible. The Chair, not the Clerk, is in control.