Loomly offers native scheduling features for Facebook, Twitter, Pinterest, Google+ & LinkedIn. If your question is related to an Instagram post, please see the next question (below).
Otherwise, before anything else, make sure you did select a scheduling option (either "Schedule with Loomly" or "Schedule with Buffer") in the Publishing tab of your Calendar Settings. Then, make sure your connected your social media accounts to your calendar, and double-check that your connections did not expire — if they did, please click the corresponding "Reconnect" buttons. Last but not least, verify that your posts were actually scheduled (i.e. their status is "Scheduled" and not "Draft", "Pending Approval" or "Approved").
If Loomly still does not publish your posts once all the above has been done, then please reach out to us at email@example.com.
Currently, Loomly integrates with Buffer. If you are using another social media management / scheduling solution, and you believe it could work well with Loomly, please send us an email at firstname.lastname@example.org.