Is there any way to convert a CFrame to a string and back again?

I'd use something like these two functions:

function encode_cframe(cf)
    return string.format(string.rep("%f ",12), cf:components())
end

function decode_cframe(cf)
    local tab = {}
    for s in gmatch(cf, "%d+") do
        table.insert(tab,tonumber(cf))
    end
    return CFrame.new(unpack(tab))
end

Untested, but should work.

EDIT: small fix.