Born in Ponorogo, Waskito joined Diklat Salatiga's youth system to began his football career before moving to Persebaya Surabaya in 1967.
Waskito had a remarkable season in 1975 with Persebaya Surabaya in the Perserikatan, where he achieved the distinction of being the top scorer of the competition.
Finally Persebaya qualified for the quarter-finals by being in second place under Persipal Palu with the same points, namely 6 but losing on goal difference.
[1] In the quarter-final match which was held at Gelora Senayan Stadium, he was able to bring his team to a 7–0 win over Persema Malang.
However, in the semifinal match which was held on Thursday, 6 November 1975, his team had to surrender to Persija Jakarta 2–0 through goals from Iswadi Idris and Risdianto.