It absolutely takes 8 weeks to heal earlobe piercings, and during that time they should not be submerged in chlorine, beach water, lake water, or any kind of water other than a shower/bath.
The chlorine is way too strong for healing tissue and will kill all everything in the area, including natural healing cells that help heal the piercing. It can dry out the lobes and make them red and dry/peely.
Any natural body of water is inhabited by living organisms, bacteria, etc. and can cause infection in a healing wound (which is what a piercing is, a puncture wound).