The most reliable way is to define your own query var and then check it:
$my_query = new WP_Query( array(
...
'context' => 'my_query'
) );
Then, from your callback:
function alter_post_clauses( $clauses, $wp_query ) {
if ( 'my_query' == $wp_query->get( 'context' ) ) {
// do stuff
}
return $clauses;
}
add_filter( 'posts_clauses', 'alter_post_clauses', 10, 2 );