Bismihi ta'ala
According to our esteemed Shi'i jurists, tattoos are makruh. However, one must also take into consideration the 'urfi/social view people have towards it.
In general, it is not at all appropriate or befitting for a pious righteous person to indulge in such activities and get tattoos, especially to be seen with it in public. Such things are not at all a concern for genuine people of faith who care about their outer religious appearance and also their reputation.
And Allah knows best.