You could either import https://github.com/CleverTap/clevertap-web-sdk into your project which will give you the clevertap object or alternatively add the following script to your app's HTML
<script type="text/javascript">
var clevertap = {event:[], profile:[], account:[], onUserLogin:[], notifications:[], privacy:[]};
// replace with the CLEVERTAP_ACCOUNT_ID with the actual ACCOUNT ID value from your Dashboard -> Settings page
clevertap.account.push({"id": "CLEVERTAP_ACCOUNT_ID"});
clevertap.privacy.push({optOut: false}); //set the flag to true, if the user of the device opts out of sharing their data
clevertap.privacy.push({useIP: false}); //set the flag to true, if the user agrees to share their IP data
(function () {
var wzrk = document.createElement('script');
wzrk.type = 'text/javascript';
wzrk.async = true;
wzrk.src = ('https:' == document.location.protocol ? 'https://d2r1yp2w7bby2u.cloudfront.net' : 'http://static.clevertap.com') + '/js/a.js';
var s = document.getElementsByTagName('script')[0];
s.parentNode.insertBefore(wzrk, s);
})();
</script>
Source: https://developer.clevertap.com/docs/web-quickstart-guide
This will create a clevertap object globally and you can use window.clevertap within your vue app.