Cuevas spent time in the youth ranks of Herrera del Alto, Atlético Termas and Atlético Tucumán. He made his professional debut for the latter in June 2013, playing twenty-two minutes in a Primera B Nacional defeat to Douglas Haig. He had previously been an unused substitute in matches against Instituto and Almirante Brown. Cuevas made one appearance in 2012–13, before making eleven over the course of 2013–14 and 2014. On 23 August 2017, Cuevas joined Sportivo Italiano of Primera C. However, he left the club three months later after only two appearances.