There are two ways you can export your contacts from Covve:

1) On the mobile app, go to your Profile, then Settings and finally tap on "Export contacts". This will send via email a csv file of all your contacts and their details.
2) On the Covve web app (https://app.covve.com) you can use your interactive maps or powerful search and then export those results into a CSV. You can search for example for people in a particular industry or a country, or search a combination of fields, including your customized tags. Note that the export feature is only available in Covve Pro.