An easy way to integrate LimeSurvey into OSTicket can be to create an open survey in Limesurvey and just create a URL in osticket with the ticketnumber as an attached URL parameter. The ticket number gets saved into the results. I assume that you want to link ticket/person to LimeSurvey results.
The cons about that easy integration is that anybody with the URL can enter the survey many times. Question is, how often will that happen.
A more complex way to integrate is to create a token in Limesurvey for every ticket when it get closed. You would need to access the Limesurvey API via OSticket.
www.limesurvey.org/manual/RemoteControl_2_API
The token would ensure the survey won't be accessed by everybody and can only be filled out once.
Personally I would use a simple integration. I would generate a unique identifier (e.g a hash out of ticketnumber and something else) beside the ticketnumber and put both in the URL as parameter. That way you can ensure that not everyone guessing the ticketnumber can enter the survey.
www.limesurvey.org/manual/URL_fields