From Lightroom, edit in Photoshop, edit copy with Lightroom adjustments
In photoshop:
Use the lasso tool to select the area to replace. I usually give it a little margin around the object itself.
Press shift+F5, which brings up a dialog box. Make sure content aware is selected.
Hit OK.
That's it. Some caveats. Sometimes a few iterations on the same area work better. Somtimes is misses big-time. Undo is your friend in this case. Somtimes I'll use the regular clone tool to divide the area into smaller chunks and then run CAF. And often I'll use the spot healing brush afterward to do a little blending/touching up of the area to be fixed.
Bottom line, if the first attemp at CAF is ugly, don't give up. There have been a few times when I've had to resort to other methods, but most of the time it can be used very effectively on its own, or in combination with other tools.
When you're finished, just do a "save" command in Photoshop and your modified image will appear in Lightroom as "filename-edit.tif"
Rand