Pumice removing water chalk deposits

Being in a hard water area the u-bend of the WC bowl gets a coating of chalk deposited from the water.
Pumice Stone seems to scrape it off quite well without damaging the glaze of the chinaware.
Is there a good way that anybody has found to attach pumice to something to enable it to reach right into the bend?
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These deposits are usually called "lime" because largely calcium (the basis of limestone and chalk.) Hardware stores sell chemicals designed to remove/reduce these deposits, e.g. the product CLR (Calcium/Lime/Rust.)
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Don Phillipson
Carlsbad Springs
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