As I'm using RadDatePicker in my Grid,

In RadGrid for the first time, the image beside the calendar control renders as expected.

As soon as I enter into "InLine" edit mode there would be 2 images rendered beside the control.

And after clicking on cancel there is no change in the image beside the control.

Also attached the screenshot for the same.

The Time Picker can be changed to present a more granular selection by changing the Interval setting; doing so however uses consumes  considerable screen real-estate. To allow for a compact selection area with a higher range of selections I suggest adding adjustment buttons to the Time Picker title bar that adjust the displayed time up or down by 15 and 5 minute intervals. See attached PDF for example.