Is it possible to disable logcat logging for an application?
You can use filtering to include only the selected app's messages by the tag(s) used. Use the syntax adb logcat YourTag:I *:S to show logcat output only from YourTag and hide all others. You can have multiple tags also, just separate them with space and have the *:S entry as last.

If you need to get all messages from multiple tags in the same app, you have to fish out the PID. If you use Linux/OSX, you can use the command:

adb logcat | grep `adb shell ps | grep com.android.example | cut -c10-15`


or you can check out proclogcat and use:

adb logcat | proclogcat