deleteLastEntryFromFlyCut.app

on run {input, parameters}
	tell application "Flycut" to activate
	tell application "System Events"
	
        	# show the Bezel ( deleting item using shortcut seem to be only available when the Bezel is shown )
        	# adjust this value according to your FlyCut shortcut in my case it's Cmd + H
		keystroke "h" using {command down}
        
        	# simulate Command + backspace combination
		key code 51 using {command down}
        
        	# close the Bezel
		keystroke "esc"
	end tell
	return input
end run