I had a dig around my parts bin on the weekend to see whether I could find another bike in there somewhere. It seems I could! I am just missing some handlebar tape and bottom bracket bolts (I have a sprocket and stem not shown too).
The frame is a Cycling Deal fixie/track frame TF-56W. I bought it for another project, but then lost interest in building it when I got my Wabi Special. Being an aluminium frame, I thought about building it up as a rain bike, but really could not be bothered. When I realized that I had enough parts to almost build a bike to use to train on my rollers, I finally built it up.
The wheels are from my first Cell Bikes fixie. I used them on my second Cell fixie for a while before replacing them. I have pulled them out of the shed to complete this bike.