Connect to the web object (w/e that is) via a cylindrical or ballsocket constraint?
The cylindrical constraint would give you a slightly more controlled pendulum effect than a ballsocket or a weld as @rotbotrotbot mentioned. Depending on what exactly your going for.
bodygyro uses a cframe right? you could just rotate the character to the strings attachment rotation (i assume the string is a beam so it has attachments, but part orientation works too if its a long part)
your attachments have property “orientation” which lucky for us is same as CFrame.Angles except in degrees form. so you could do this