Run Jetpack Instant Search locally

get_from_staging.sql

-- Replace table name as needed
SELECT * FROM `wp_options` WHERE `option_name` LIKE '%jetpack_search%' ORDER BY option_name ASC;

hack_functions.php

<?php
// If we are on localhost, force Jetpack online
if ( defined( 'WP_LOCAL_DEV' ) && WP_LOCAL_DEV ) {
   add_filter( 'jetpack_offline_mode', '__return_false' );
}

Thanks for the tip @verytwisty. It's very useful

Currently this only works locally for me if I add define( 'JETPACK_DEV_DEBUG', false ); to the wp-config file, incase anyone else is having trouble!