When installing Client Management Suite 7.5, the readiness check states that the browser installed should be 7/8/9/10, but if reading the implementation manual for 7.5, only IE8 is supported, while IE9 is supported in compatibility mode.
I have both an installation of 7.1 SP2 and 7.5 running, and I have only found one minor thing that I can not do with IE10/11.
The one minor thing I was not able to do with IE10, was something with creating asset definitions in Asset Management, but I just used another computer to do that step in the creation of new asset types.
This does not mean that they are supported, but the different browserversions seem to work, at least for me.