听完 + 了 + Object
The compound verb 听完 (tīngwán) means 'to finish listening' and is formed by combining 听 (to listen) with the resultative complement 完 (to finish). This pattern of Verb + 完 is productive in Chinese and indicates the completion of an action. Other examples include 看完 (to finish reading/watching) and 吃完 (to finish eating).
你把这首歌听完再走吧。
nǐ bǎ zhè shǒu gē tīng wán zài zǒu ba.
Finish listening to this song before you go.
我还没听完他的解释,他就挂了电话。
wǒ hái méi tīng wán tā de jiěshì, tā jiù guà le diànhuà.
Before I finished hearing his explanation, he hung up the phone.
等我听完这个播客,咱们就出门。
děng wǒ tīng wán zhège bōkè, zánmen jiù chūmén.
Once I finish listening to this podcast, we'll head out.