How do I stop UserInputservice whilst typing?

Check if gameProcessedEvent is false

It's either true or false, I believe it's false.

Example,

game:GetService("UserInputService").InputBegan:connect(function(inputObject, gameprocess)
	if (inputObject.KeyCode == Enum.KeyCode.M) and (not gameprocess) then
		print("Not typing")
	else
		print("Typing")
	end
end)

Your code,

Applying this information, we get the following code,

local Player = game.Players.LocalPlayer

Player.CharacterAdded:connect(function(Character)

    enabled = true
    enabled2 = true

    able = script.able
    local function onInputObject(inputObject,gameProcessed)
        if (inputObject.KeyCode == Enum.KeyCode.M) and (not gameProcessed) then
                if enabled2 == false or able.Value == false then
                    return
                end

                enabled2 = false

                if enabled == true then
                    enabled = false

                    script.Parent:TweenPosition(UDim2.new(0.245, 0, 0, 0), "Out", "Quad", 1)

                elseif enabled == false then
                    enabled = true              

                    script.Parent:TweenPosition(UDim2.new(0.245, 0, -1.4, 0), "In", "Quad", 1)
                end

                enabled2 = true
        end     
    end 
game:GetService("UserInputService").InputBegan:connect(onInputObject)
end)

If I have it backwards, do if gameProcessed instead of not gameProcessed

Good Luck!