Clyne has joined Liverpool on a five-year deal from Southampton for a fee in the region of £12.5million.
And former Saints skipper Lallana, who made his move to Anfield last summer, has spoken of his delight at seeing Liverpool land the defender.
"It's a massive signing for us," he said.
"I played with him for a couple of seasons at Southampton and since they signed him, he's come on a lot.
"Last season he probably had his best season at Southampton, got an England call up and he's been a regular in the squad ever since.
"To manage to persuade him to sign for Liverpool - as I'm sure there would have been other top clubs, and even European clubs interested in him - is a great coup for us."
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Adam Lallana and Nathaniel Clyne played together at Southampton
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