We have had this feature for a while in the app and we are just getting around to advertising it. You can access Chatter posts offline on any object. In addition, you could also post new chatter posts or like and comment on existing posts. Go ahead and enable this using the Pulsar Premium package and let us know how you like it.
In order to enable Chatter on any object, please add the following list of objects to your pulsar.sync.objects setting:
(ObjectNameFeed for standard objects or CustomObjectNameFeed for custom objects).
After you save PulsarSettings on the server side, come back to Pulsar on the iPad, click on Settings (gear icon on the bottom right of the Pulsar home page) and tap on the button that says ‘Refresh Settings’. This step forces the app to read the new setting. Now from the home page, run a catch-up Sync and you will have the Chatter icon enabled from the object detail screen. Here are a couple of screenshots for your reference.