I would not have a problem with that as long as the procedure we adopt also makes it clear that while we're in clause-by-clause, members can submit subamendments and amendments without prior notice.
Evidence of meeting #1 for Bill C-31 (40th Parliament, 2nd Session) in the 40th Parliament, 2nd Session. (The original version is on Parliament’s site, as are the minutes.) The winning word was amendments.
A recording is available from Parliament.