وَجَعَلَ يُوَدِّعُ
He began and continued to take leave.
In this use, jaʿala with an imperfect verb can present the start and continuation of an activity. Yuwaddiʿu is an imperfect verb, letting us picture repeated farewells.
A simple perfect verb could present a single completed farewell. Here the ongoing activity also supports the account of how he tries to conceal his route.