He reported from the committee examining a petition relating to the administration of the Fleet prison and promoted a bill on the Calne highway.
He was named to draft a bill to end the embargo on the export of white woollen cloth which was a matter of concern to his constituents.
At the 1710 general election he was caught up in a double return, and the Tory majority in the new House decided against him and his fellow Whig.
[1] At the 1722 British general election, Duckett was returned again as MP for Calne, but vacated the seat on 28 February 1723 on his appointment as a commissioner of excise, a post he held until 1732.
Pope accused them of attacking his translation of Homer prior to anything even being written, and with some justice, and Duckett continued the battle with An Epilogue to a Puppet Show at Bath Concerning the same Iliad by himself.
In 1729, Duckett and John Dennis together wrote an anti-Popery booklet called Pope Alexander's Supremacy and Infallibility Examin'd.