Tick-tick-tick means the power supply is starting up, detecting a fault and shutting down, then repeating the cycle. Do you have another LC to try it in to see if it works? You may have a short somewhere on the motherboard. Also double check to make sure you didn't create a solder bridge, miss a solder joint or crack an existing one that was sketchy. I've never seen a transformer fail in a switchmode PSU. Did you wash off all the leaked electrolyte? It's conductive and corrosive. I use a toothbrush and warm soapy water, followed by a good drying, either compressed air followed by a hair dryer or just let it sit out for a couple of days in a warm room.

Note that most computer power supplies will not operate correctly without some sort of minimum load on at least the primary (usually 5V) output. Automotive light bulbs make good test loads for the +12 and +5V outputs since they will also give a visual indication.