As long as you gain some experience in addition to your CS degree there are plenty of programming jobs around, though they are largely concentrated in London and Cambridge (Quant jobs in London, other more general programming in both locations, quite a bit of hardware around Cambridge too). The larger employers often recruit directly through University career fairs.

There's still a high demand for good developers in the UK, main issue in recruitment is sifting through the many applicants for positions who, even with experience, show no aptitude for the job.