The Celtic substitute remained positive despite the 2-1 loss.
United went 2-0 up against the champions, who needed Griffiths to come on in the 78th minute before getting back into the game.
It was the 24-year-old who scored what proved to only be a consolation goal, although he also hit the post in search of an equaliser.
And Griffiths has promised supporters that the Bhoys will bounce straight back - reminding everyone that they remain 'TOP' of the league.
Not the result we wanted today, but we will bounce back! Sitting pretty at the TOP of the league...I don't think we will be shifted!— leigh griffiths (@Leighgriff09) December 21, 2014
The forward's second-half performance at Dundee United has got many Celtic fans calling for him to be given a place in the starting line-up.
Following Griffiths' cameo, boss Ronny Deila told reporters:
“If we talk about goalscorers, Leigh Griffiths is one. He’s fitter now, sharper and you see that he can score, so that’s positive. Scott Brown also played well today but it’s frustrating that we didn’t get three points."