Using Tailwinds new Animate properties and AlineJS to trigger

button-spin-animation.html

<button x-data="{spin: false}" type="submit" @click="spin=true"
        class="inline-flex items-center px-3 py-2 border border-transparent text-base leading-4 font-medium rounded-md text-white bg-green-400 hover:bg-green-500 focus:outline-none focus:border-green-700 focus:shadow-outline-indigo active:bg-green-700 transition ease-in-out duration-150">
    <svg x-show="spin" class="animate-spin -ml-1 mr-3 h-5 w-5 text-white" xmlns="http://www.w3.org/2000/svg" fill="none"
         viewBox="0 0 24 24">
        <circle class="opacity-25" cx="12" cy="12" r="10" stroke="currentColor"stroke-width="4"></circle>
        <path class="opacity-75" fill="currentColor"d="M4 12a8 8 0 018-8V0C5.373 0 0 5.373 0 12h4zm2 5.291A7.962 7.962 0 014 12H0c0 3.042 1.135 5.824 3 7.938l3-2.647z"></path>
    </svg>
    Send Invitation
</button>