The third act in the chronicles of Tony Blair features Michael Sheen and scribe Peter Morgan in fine form, but a shaky turn by Dennis Quaid mars The Special Relationship from reaching its full potential.

Bill Clinton is perhaps one of the most impersonated public figures of our time, and with good reason. A southern silver fox with saxophone in hand and sex life on display, the former President of the United States is as much a celebrity as he was a politician.

In The Special Relationship he is played by Dennis Quaid in a decent enough performance, yet not a wholly convincing one. Clinton’s directness, charm and croaky southern accent as delivered by Quaid feel more like the mechanics of a good impersonation. Missing is the breeziness seen in Josh Brolin’s George W. Bush, or indeed Michael Sheen’s Tony Blair.

This film marks the third time Sheen has played Britain’s longest running Prime Minister, with The Special Relationship opening with Blair on the cusp of winning the election.

When he does, it is to the thrill of new friend and ally Bill Clinton, whose vision of a world under the rule of centre-left politics is slowly taking shape.

An almost brotherly relationship begins to take form between the American and British leaders. Clinton dispenses advice upon “little brother” Blair, and helps bring about peace in Northern Ireland. Blair stands by Clinton in a symbol of solidarity during the Monica Lewinksy sex scandal. The pair fall out over how to combat the genocide in Kosovo.

Under the direction of Richard Loncraine, all of these moments are replayed for us in great detail, and it is interesting to look back at these events, those involved, and the inner workings of this relationship.

It has a political agenda, to be sure (hard to find a political biopic that doesn’t). Blair has been a piñata for every left leaning entertainer and advocate ever since he danced to the tune of Bush Jr’s shock and awe.

Yet Peter Morgan’s astute writing makes it all worthwhile. The man has a knack for recreating these true life events, giving new life to the people who were a part of it, and filling their mouths with rich dialogue.

As a result a fine cast turn in strong performances. Hope Davis turn as Hilary Clinton, in particular, is simply a revelation.

But then comes Quaid as big Bill, as if he walked on to a live sketch show where his impersonation would no doubt be met with a round of applause. In The Special Relationship a golf clap would be more suited.