"St. Clement's" is the church in which Lydia Bennet and George Wickham are married in London because, Lydia writes, "Wickham's lodgings were in that parish."
There were two churches named St. Clement's in London at the time: St. Clement Eastcheap in Candlewick Ward in the City of London and St. Clement Danes in the City of Westminster. As Eastcheap would have been a smaller community, much closer to the Gardiners, scholars tend to think Lydia means St. Clement Danes, which would have included cheap lodging and touched parts of Drury Lane.