i was told that it does restart the 24hr window but that doesnt appear to be happening. either i was misinformed or its a bug that the timer isnt restarting http://forums.kanoapps.com/showthread.php?p=23202#post23202 different game yes but still same concept.
Actions that contribute to your attack against count (keeps you in their rival list) include bounties, whip, mass whip, triggered counter attack, triggered bounty trap, attack, vs attack. Actions that affect the timer (will reset and prolong attack count over x days) include bounties, whip, mass whip, attack, vs attack. Actions that don't affect the attack count timer include triggered counter attacks and triggered bounty traps. If you are experiencing something different then is outlined above please send in a message to support with screen shots so that we can investigate further.