Deputy Liberal Democrat leader Simon Hughes has congratulated Labour on their South Shields win.
The Lib Dems came seventh place in the by-election, speaking to Daybreak Mr Hughes said, "the Tories were always the challengers and they've been knocked out by UKIP."
He added: "We appear to be doing well in our territory and not giving that up."
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The House of Commons Petitions Committee has said they will keep an eye on the petition and are concerned about fraudulent signatures.