My 2002 Jeep liberty runs hot leaks water but never c it leaking out had it worked on but stills runs hot

The heater uses the coolant (read antifreeze and water) from the engine to get hot. If it runs low enough, by say leaking out of the heater core, your engine will overheat and that can be bad for it and expensive to fix.
Although most antifreeze is poisonous, (don't drink it) if you keep your window open the fumes will not hurt you. That being said, it will stain the carpet, make the inside of the car smelly, leave a puddle on the floor, cause the floor boards to rust(slowly) and mainly be annoying.
Since we are starting into summer you can get by for awhile by just adding water to the coolant tank under the hood. Make sure you do this when the engine is not hot. Engine coolant can give you severe burns if you take the cap off when the engine is hot.
So, about an hour after you get home from work go and check the engine coolant level. If you can hold onto the radiator hose then it is cool enough to add some more water. If you add more water then leaks out you can drive the jeep.
FYI The leak will get worse over time.

You did not say you replaced your thermostat Change the thermostat. Sometimes new thermostats stick. Test the new one before installing by putting it in hot water and watch to see if it opens or closes.

Can you actually see the drips when leaking ? I found a mystery leak today. Leaking thru the Trans . Freeze plugs on the back of the block. Had to pull the Trans to verify

My best guess would be that you have a bad water pump. When thhey go bad, they will often leak antifreeze from weep holes in the housing. Since your car's heater is nothing more than a small radiator that relies on hot coolant being circulated through it, a bad water pump would explain your lack of heat. Conversely, it may just be a leak. If your system has lost enough coolant, your heating system will suffer the same.

Does it look like coolant leaking? Same color? If so, it could be. That or the water pump. Go for the thermostat first. They are more common to go out. It would explain the lost in heat.

Sounds like you have a leak at the heater core and lack of heat usually means low water level in radiator. When engine is cold ,add some radiator "stop leak" top up the radiator, start the jeep but leave the cap off until the water is hot and you are sure radiator is full. Then tighten cap and drive or idle for about half hour or more. When you can afford it change out the heater core.

your clutch on cooling fan could be faulty or your radiators cores is blocked and restricted.also grilled could be blocked restricting air flow.

SOUNDS LIKE THE WATER PUMP HAS COME APART..WITH VEHICLE OFF,GRAB FAN (IF EQUIPPED) AND ROCK IT UP AND DOWN..IF NO FAN,GRAB PUMP PULLEY..CENTER PULLEY AND DO SAME..IF IT MOVES ALOT,YOUR WATER PUMP IS GONE..CHECK FOR ANY CUT HOSES,ETC.. ALSO

Check for a leak, if no leak add a can of restorer every oil change.

its probley leaking in the evaporator you cannot see it without removing the dash see if anyone that you know has a freon sniffer then lacated the drain tube for the evaporator case most of the time its located on the fire wall on the right lower area with a full charge use the sniffer and see if indicates a leak