Cinebench is not available for Linux but there are some alternatives that runs on Linux with similar functionality. The best Linux alternative is UNIGINE Benchmarks, which is free. If that doesn't suit you, our users have ranked more than 10 alternatives to Cinebench and five of them are available for Linux so hopefully you can find a suitable replacement. Other interesting Linux alternatives to Cinebench are Geekbench (Paid), Phoronix Test Suite (Free, Open Source), Tyler's Frame Machine (Free) and Linpack Xtreme (Free).
Linpack is a benchmark and the most aggressive stress testing software available today. Best used to test stability of overclocked PCs. Linpack tends to crash unstable PCs in a shorter period of time compared to other stress testing applications.