Considering its enormous reputation, I would have to advise most people against going there. They try to cram as much as possible into as short a time as possible with little regard to student health. It is also much more expensive than most other universities given the high cost of college accommodation and Cambridge’s astronomical living expenses. In terms of teaching it is extremely mixed, most professors are incredibly intelligent and devoted to their subject but many are unable to teach and students are often left to fend for themselves (throughout my entire dissertation process I met with my supervisor once for half an hour). The name still does hold sway and so if that is what you care about then I would recommend it, but make sure you look past the name and be aware of what you are getting yourself into.