Doing a quick ST comparison to Ivy Bridge:
My i5, at the same 3.8GHz, in Cinebench 11.5, scores 1.60 in the single threaded bench. Carrizo scores 1.11, according to AtenRa's benches. Even if it has made significant ground in IPC improvement, Intel's 4 generation old i5 is still 44% faster per clock in this specific benchmark.
Disclaimers: Meaningless comparison, you can't buy Ivy Bridge new anymore, Cinebench is not necessarily representative of overall performance, platform differences, cost, throttling, early bios, etc. etc.
However, we can gather from this that Carrizo should still be slower than the slowest locked Sandy Bridge quad... in Cinebench at least. It's downright depressing to see that AMD's 2015/2016 quad core is still not only slower per clock than Intel's 5 generation old quad core CPUs (and probably 6 generation/7 year old i5's as well), but also slower in absolute terms too, even with its clockspeed advantages. There was a time when all of my builds were AMD.
On the other hand, benches show that it's not too far behind Intel's modern chips in efficiency, even if it doesn't compete in absolute performance. Crossing my fingers for Zen.