Chain Reaction Puzzle

The Puzzle:

Chain Reaction
Chains. Make-up. What's the connection? The answer lies in a film. The chain of shops "Texas" once made a film about their new eye make-up. They called it "The Texas Chain Store Mascara". I digress.

Here we see several bits of chain. I have been told to join up all the pieces to make a complete necklace using all twenty links.

However, it is a very fiddly job, and it takes one minute to cut one link, and two minutes to join it up again. How long will it take me to finish the necklace?
Do you have the answer? Check against our solution!