Every time Saudi Arabian Iqama (Resident Permit) is issued or renewed; it has an associated expiry date which you must know so that renewal is done in time without any hassles.
Iqama expiry is not specified on your Iqama card itself. However, Ministry of Interior (MOI) provides online service for this purpose.
For checking expiry date of your iqama, go to the below link:
https://www.moi.gov.sa/wps/portal/Home/publicservices/passports/iqama-expiry/
In this query iqama expiry service, key in your iqama number and also fill the captcha input field and click view.

If your input is valid, you should get response similar like below, stating expiry date of the iqama in Hijri calendar (in YYYY/MM/DD format).
Iqama is valid till :14xx/xx/xx
Now if you want to know the expiry date of your iqama in Georgian calendar; you can below online tool which will convert the date from Hijri to Georgian.
http://www.islamicity.org/Hijri-Gregorian-Converter/
Update: Check Iqama Expiry Date Through MOI Absher Iqama Expiry Service
Previously it was possible to query iqama expiry date through a public service without logging into Absher Account but now you need to login to your Absher account and only then you can use Iqama Expiry Service. This entire process is explained in step by step details in the below video on ExpatsKSA Youtube Channel. Don’t forget to like & Subscribe the channel for more videos.
Video: How to Check Iqama Expiry Date Online Using MOI Absher