Isopropyl alcohol and pipe cleaners make it easy to do in tight spaces.
1. Soak the rig in a Tupperware filled with isopropyl alcohol for at least 24 hours. Disassemble all parts.
2. Remove the rig from the Tupperware and rinse the rig in and out with alcohol. You will see the residue dispersed and contaminated by the alcohol.
3. Check the rig and parts for dirt.
4. Remove residue in tight areas with pipe cleaner.
5. Repeat as necessary. You will have a brand new rig with very little effort.