Maybe this can help. First, get all the post’s terms; then, cycle through them with a foreach
loop to retrieve and echo each one’s link. The last line of code will limit the cycle to the first two terms.
$terms = wp_get_post_terms(); // If you're not in the loop, you should pass the post's ID as an argument.
$i = 0;
foreach ( $terms as $term ) {
$name = $term->name;
$href = get_term_link( $term->term_id );
echo '<a href="' . $href . '">' . $name . '</a>';
if ( ++$i == 2 ) break; // Limit to first 2 tags
}