Example code for using the Caldera Forms REST API JavaScript client. See: https://calderaforms.com/doc/caldera-forms-rest-api/

caldera-forms-rest-api-client-usage.js

/**
 * Get form config details
 *
 * api is instance of CFAPI
 */
var form = api.getForm();

/**
 * Get first page of entries
 *
 * api is instance of CFAPI
 */
var entries = api.getEntries();

/**
 * Get first page 7 of entries
 *
 * api is instance of CFAPI
 */
var entries = api.getEntries( 7 );

caldera-forms-rest-api-setup-admin-only.php

<?php
/**
 * Load Caldera Forms API client
 *
 * Requires Caldera Forms 1.5 or later
 *
 * Only works for admins
 */
add_action( 'wp_enqueue_scripts', function(){
	//change this to your form ID
	$form_id = 'CF123456';
	//load api client JavaScript
	Caldera_Forms_Render_Assets::enqueue_script(  'api-client' );
	//Print useful info to DOM
	$config = new Caldera_Forms_API_JsConfig( Caldera_Forms_Forms::get_form( $form_id ) );

	wp_localize_script( Caldera_Forms_Render_Assets::make_slug( 'api-client' ), 'MYOBJ', $config->toArray() );
});

caldera-forms-rest-api-setup-for-admin.js

/**
 * Initialize Caldera Forms REST API client
 *
 * For admin users only
 */
jQuery(function() {
  if( 'object' == typeof MYOBJ ){
    //25 is the number of entries per page to get
    var api = new CFAPI( MYOBJ.api.form, 25, MYOBJ.api.formId, MYOBJ.api.nonce, $ );
  }
});

caldera-forms-rest-api-setup-for-other-roles.js

/**
 * Initialize Caldera Forms REST API client
 *
 * For used of  users that the token is valid for
 */
jQuery(function() {
	if( 'object' == typeof MYOBJ ){
		var tokens = {
			//REST API Nonce
			nonce:  MYOBJ.api.nonce,
			//Special token for API
			token:  MYOBJ.api.token
		};

		//25 is the number of entries per page to get
		var api = new CFAPI( MYOBJ.api.form, 25, MYOBJ.api.formId, MYOBJ.api.nonce, $ );
	}
});

caldera-forms-rest-api-setup-other-roles.php

<?php
/**
 * Load Caldera Forms API client
 *
 * Requires Caldera Forms 1.5 or later
 *
 * With support for a lower user role
 */
add_action( 'wp_enqueue_scripts', function(){
	//change this to your form ID
	$form_id = 'CF123456';
	//load api client JavaScript
	Caldera_Forms_Render_Assets::enqueue_script(  'api-client' );
	//Print useful info to DOM
	$config = new Caldera_Forms_API_JsConfig( Caldera_Forms_Forms::get_form( $form_id ) );
	$data = $config->toArray();

	//Will allow for viewing by a user of editor role or higher
	$data[ 'api' ][ 'token' ] = Caldera_Forms_API_Token::make_token( 'editor', $form_id );
	wp_localize_script( Caldera_Forms_Render_Assets::make_slug( 'api-client' ), 'MYOBJ', $data );
});

Hey @Shelob9 spent some time over the weekend playing with the API setup for a plugin I am creating. May I suggest outlining the necessity to adjust the default priority for wp_enqueue_scripts to something like 11 or higher.
I should have caught it sooner but this action is running before the caldera_forms plugin runs and registers the cf-api-client script, so there is nothing to enqueue. This may save someone a few mins and maybe hours of "What am I missing"