Are you using Lightning Data Service?   
If you use Lightning Data Service ([force:recordData][1]) The utility bar component will pick up change. 


From Salesforce Docs, 

> Records loaded in Lightning Data Service are cached and shared across
> components. Components accessing the same record see significant
> performance improvements, because a record is loaded only once, no
> matter how many components are using it. Shared records also improve
> user interface consistency. When one component updates a record, the
> other components using it are notified, and in most cases, refresh
> automatically.

Set "recordUpdated" attribute with an action, Then in that action logic, handle refresh view logic. 

Example @ [here][2]


  [1]: https://developer.salesforce.com/docs/atlas.en-us.lightning.meta/lightning/data_service.htm
  [2]: https://developer.salesforce.com/docs/atlas.en-us.lightning.meta/lightning/data_service_load_record.htm