How to Archive Only MySQL Master not the Slave.?
If you are sure the Slave is sync'd with the Master, you could do the following on the Slave:


Activate Binary Logging
Perform a full mysqldump every three months
Run FLUSH LOGS; every midnight
After the FLUSH LOGS;, make a physical copy of new binary logs, except the last one
OPTIONAL Set expire_logs_days=180 in my.cnf and run SET GLOBAL expire_logs_days=180; (I used 180 because this give you 90 days to have access to changes from the previous two quarters. If you produce more than one binary log per day, make sure you have enough diskspace to hold 180G of binary logs or just reduce the number from 180.
The idea is to have the changes to the Master. They are stored already in the Master's Binary Logs. Those same changes can be on the Slave as well if you activate Binary Logging on the Slave. The Master never needs to feel anything throughout this process.


You could use pt-table-checksum and pt-table-sync to sync up the Slave from the Master. (I wrote a shell script to automate them using mk-table-checksum and mk-table-sync)

Doing these things will allow you to reload a snapshot of the beginning of a Quarter onto another server. Replay all logs on the Slave (using mysqlbinlog) to any datetime from those logs to view different days within the next Quarter.

If all your data is InnoDB, here is an Alternative from the Master


Binary Logging on the Master should already be enabled due to Replication
Perform a full mysqldump (using --single-transaction) every three months
Run FLUSH LOGS; every midnight
After the FLUSH LOGS;, make a physical copy of new binary logs, except the last one
OPTIONAL Set expire_logs_days=180 in my.cnf and run SET GLOBAL expire_logs_days=180; (I used 180 because this give you 90 days to have access to changes from the previous two quarters. If you produce more than one binary log per day, make sure you have enough diskspace to hold 180G of binary logs or just reduce the number from 180.


These are just some ideas you can try to organize using the Slave or the Master.