How can I stop this script from doing something if it has been hit?

At first i thought it was just a simple debouncing that was required but after re-reading your question this was a more interesting problem.

I added a while loop and a waitTime, basically the waitTime will reset back to 5 seconds if the thing was touched before waitTime counts down to 0 or if the waitTime already reaches 0

If the waitTime reaches 0 it will toggle the Touched value to false, allowing the thing to be touched again

My solution:

local Animal = script.Parent
local Attacker = Animal.Attacker
local TakingDamage = Animal.IsTakingDamage
local Touched  = false
local breaker = false
local OriginalWaitTime = 5--change this value to however long you want it to wait in seconds
local waitTime = 5

script.Parent.Touched:Connect(function(tuc)
    breaker = true
    if tuc.name == "Blade" and not Touched then 
    Touched = true
     breaker = false
    Attacker.Value = tuc.Parent.Parent.Name
    TakingDamage.Value = true
    print("TakingDamage")

    end 

while waitTime>=0 do
    waitTime = waitTime - 1

    if breaker then--if the thing has been touched inappropriately this will trigger and end the loop and a new while loop is created and resets the waititme back to 5.
        waitTime = OriginalWaitTime
        breaker = false
        break
    end

    if waitTime <0 then--after 5 seconds Touched becomes false and player can touch again
        Touched = false
        breaker = false
        waitTime = OriginalWaitTime       
         Attacker.Value = "nil"
        TakingDamage.Value = false
        break 
    end

    wait(1)
end

end)

what you want is a debounce, which is pretty much a bool variable like debounce = false and you name debounce anything like died = true, dying = false like this example:

local debounce = false

script.Parent.Touched:Connect(function(hit)
    if hit.Parent:FindFirstChild("Humanoid") and debounce then -- the if statement only executes the code if "debounce" is false
        debounce = true -- makes it so we cant execute the code and sets it true
        print("hello")
        wait(5) -- waits 5 sec til we can execute the code
        debounce = false -- sets it to false
    end
end)

like this

local Animal = script.Parent
local Attacker = Animal.Attacker
local TakingDamage = Animal.IsTakingDamage
local canTouch = false

script.Parent.Touched:Connect(function(tuc)
    if tuc.name == "Blade" and canTouch then
    canTouch = true
        Attacker.Value = tuc.Parent.Parent.Name
        TakingDamage.Value = true
        print("TakingDamage")
        wait(5)
        Attacker.Value = "nil"
        TakingDamage.Value = false
    canTouch = false
    end 
end)

also there can be other forms of a Debounce like using numbers such as like this

debounce = 0

script.Parent.Touched:Connect(function(hit)
    if hit.Parent:FindFirstChild("Humanoid") and debounce == 0 then  
        debounce = 1
        print("hello")
        wait(5) 
        debounce = 0
    end
end)

You can use a quite simple method;

• create a simple Script.

• then add an IntValue named Cooldown inside the script.

• add the lines below to the Script!

--  The Power Of "Events"!
local Animal = script.Parent
local Attacker = Animal.Attacker
local TakingDamage = Animal.IsTakingDamage
local cool = script.Cooldown
loop = false

    script.Parent.Touched:Connect(function(hit)
  if hit.Name == "Blade" then
Attacker.Value = hit.Parent.Parent.Name
        TakingDamage.Value = true
cool.Value = cool.Value + 5
loop = true
end
end)

cool.Changed:Connect(function()
if cool.Value == 0 then
TakingDamage.Value = false
Attacker.Value = nil
loop = false
wait(1)
end
end)

while loop == true do
wait(1)
cool.Value = cool.Value - 1
end

-- Feel free to edit it!

-- Hope i helped.

---- AIphanium.