However, you can install an app called Onavo Count which keeps track of how much data each app uses. Not the times of use, though.
Amazing, I can't find out what app on my phone just ran 388mb of data xfer at 2:44am yesterday while I'm sound asleep yet the LE types can subpoena and search warrant anything I do online and with who and for how long. Verizon list who I receive phone calls from and make calls to and from where I receive messages and to whom/where I text but can't tell me squat about something that is eating up band width. I'm sure it's probably some app that is running in the background on my phone. I've just got to figure out what it is and kill it. I want to drop (cause I don't use it, it's slower than a dial up 1200bps modem)my data plans and save about $50 a month.
As I have said, you CAN find out if you install Onavo Count. This app keeps track of which apps are using data and how much data.