He'd already been taking a good close look at it, because clearly something was different. But - 'think at it'? ...Okay.

...Hello.

'Hello there, stranger.'

The Doctor's eyes popped.

So - he's upgraded you.

'Quite a lot. You ought to take a closer look.'

He glanced back up at Jack. "So you've given your wriststrap a voice. And it's a flirt." Then he was right back to examining it visually - all the while carrying out a rapid-fire mental conversation with it, examining its various upgrades.