All councillors have responsibilities in relation to the accounts and this has to be confirmed in the annual return:
"The council itself is also asked to give a public assurance (see paragraphs 2.37 to 2.49) that in approving the annual accounting statements it is satisfied that this has been prepared in accordance with the requirements of the Regulations and proper practices. As with other decisions made by the council, all of which have a legal implication, councillors have a duty to make themselves familiar with the requirements contained in the Regulations as they are jointly and severally legally responsible."
See Governance an Accountability for Local Councils or other similar sources.
Note that councillors are jointly and severally responsible - which is to say no individual councillor is free of responsibility for the proper preparation of accounts. It follows from this (if not from many other considerations) that every councillor is entitled to satisfy themselves that the accounts are being properly prepared in conformance with the regulations.
If you do not have a system of councillor audit (which is usually expected by the internal auditor) then one should be instituted, and that provides an opportunity to ask detailed questions. The clerk is not entitled to refuse a properly appointed councillor audit.