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The out-of-sorts champions are now winless in their last five games and have scored just one goal in those matches. The result - secured by Ashley Barnes' late penalty - means that Liverpool are six points behind league leaders Manchester United after 19 games.
Liverpool great Jamie Carragher had to provide analysis on the night for Sky Sports, but his old sparring partner Neville was clearly enjoying the action from his home.
G-Nev tweeted just a close-up of his own, intense, staring face when Barnes won then scored a penalty in the 83rd minute. The Clarets then had to see out seven minutes plus injury time of late LFC pressure as the home side desperately searched for an equaliser.
When it didn't come, Neville immediately posted: "Football on Thursday Nights ain't that bad [shrug]".
Thursday night is, by tradition, not a big football night (sorry, Europa League) - but former United right-back Neville clearly enjoyed this one.
His club may have drawn 0-0 with Liverpool last weekend, but the turnaround in United's fortunes overall this season has been remarkable.
Last season, Manchester United finished third - 23 points behind Jurgen Klopp's champions. This season, Ole Gunnar Solskjaer's side have that six-point lead over fourth-place Liverpool with exactly half the league season gone for both sides.
You have to wonder whether Gary reached for a bottle of the bubbly once again on Thursday night, given such a dramatic turnaround in his club's fortunes.
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