Mauricio Pochettino brought on Davinson Sanchez to try to shore things up at the back but Tottenham's defence looked very shaky right up until the final whistle, with Wolves just failing to conjure that one golden chance to equalise.
Spurs went 3-0 up, only for two penalties to peg them back, and leave them clinging on for the three points.
Trippier had earlier set up a goal for Lucas Moura with a trademark cross, but Pochettino has reminded the England worldwide of his defensive duties.
"It was a bad result for us but a fantastic reaction", he said. Pochettino said. "Because we are so handsome and we are walking down the street in London and she is so proud about you because another woman looks at you".
"You are going to see or have the answer". Those are things we need to be careful about, we need to have more discipline and be more responsible.
"The players are confident in me".
"It's like no different full-back in the world". And you need time.
"If you watch the game, Moussa Sissoko compensates that situation".
"We play football to the end, sometimes we get rewarded and sometimes we don't".
"I'm happy. But as a centre-back you can be involved".
"You need to play for something that is bigger than a person".
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"A lot of hard things that happen but I think we're strong enough to sort out all the problems and arrive and at the end to achieve what the club and fans deserve". Against Barcelona, Manchester City and now, we conceded very poor goals.
Real Madrid will play their first league match under interim boss Santiago Solari this weekend when they host Real Valladolid.
"That is the balance which is important to generate or create in a team if you want to be close to winning titles".
"It's the responsibility of the players".
"When the people criticise me I accept that they criticise".
"And then it's about our emotions, our feelings".
"When we got to 3-0 we thought and the whole stadium thought the game was over", he said.
Pochettino was keen for his players to learn the lessons on Saturday's thrilling clash after they threatened to throw away a 3-0 lead in a tense finale.
Despite speculation about a move to Real Madrid, who sacked coach Julen Lopetegui on Monday, Argentine Pochettino has stayed focused on Spurs.