Check this link;
http://www.cic.gc.ca/english/helpcentre/answer.asp?qnum=464&top=1
It clearly explains the processing time.
In the case of formal requests made pursuant to the Privacy Act, we have 30 days to respond. However, this
period may be extended for a maximum of 30 days if:
-> meeting the original time limit would unreasonably interfere with the operations of the government institution, or
-> consultations are necessary to comply with the request that cannot be completed within the original time limit.
The period may also be extended for a
reasonable period of time if:
-> additional time is necessary for translation purposes, or
-> for the purposes of converting the personal information into an alternative format.
We will tell you about the extension and its length, within 30 days after the request is received. It will also let you know that you have the right to complain to the Privacy Commissioner about the extension.
Note: If you do not receive a response within 30 days, you may obtain the status of your request by contacting the ATIP Division via:
e-mail:
ATIP-AIPRP@cic.gc.ca;
You would need to drop another email to the said address and also need to quote your request tracking number. However following their wordings, they have kept it vague enough for them to extend the response time by 30 more days, or in some cases indefinitely.