"Modest success" refers to achieving a certain level of accomplishment, but on a smaller or more humble scale. It suggests progress or achievement, but not to an extravagant or exceptional extent. Full definition
While finding modest success, their next game would take on a different classic genre: the beat - em - up. (hardcoregaming101.net)
One of the reasons why licensees fail or only achieve modest success is their inability to focus on the consumer's needs and to market their services accordingly. (nar.realtor)