Function That Starts Loop From Beginning Upon Requirement Being Met ?

Is there a feature in Roblox Lua where if a a certain requirement is met, the loop starts again from the beginning?

Well, there are a couple things you can do.

For 1, you can put a conditional statement (If Statement) and then a loop under it so it will run if the requirement is met.

An example is:

local a = true

if a = true then
	while true do
		wait()
		print('a is true')
	end
end

Another thing you can do is combine the loop with the statement. This is commonly used in infinite loops. Here is an example:

local a = true

while a do -- this is equal to while true do since a is true now u can put other statements such as 1 + 1 = 2 and so on
	wait()
	print('dis works')
end

If you wish to loop for a specific amount of times every second:

local a = true

if a then
	for i = 0, 10 do -- loops 10 times 
		wait()
		print('Looped'..i)
	end
end

Hopefully, this helped and was what you were looking for.

Best of luck developer!