Shuka says that making the brahmanas' curse only the occasion, the Lord destroyed His own clan by Time, whose desire is never frustrated: 'brahma-shApa apadeshena kAlena amogha-vA~nChitaH' (SB 3.4.29). The curse is the occasion, not the cause; the agent is Kala.
Kala
काल
Kala is Time, named by the Bhagavata as the agent of the Yadus' destruction. At SB 3.4.29 Shuka says: 'brahma-shApa apadeshena kAlena amogha-vA~nChitaH / saMhR^itya sva-kulaM nUnaM tyakShyan deham achintayat' — making the brahmanas' curse only the occasion, by Time whose desire is never frustrated, the Lord destroyed His own clan. The division matters: the curse is not the cause but the occasion; the effective agent is Kala, whose wish is never frustrated. This is the same agency pointed to at SB 3.3.15, where the Lord said that the Yadus, their eyes reddened by pride, would quarrel among themselves and, engaged by Him, vanish of themselves.
Śrīmad Bhāgavata Mahāpurāṇa 3.4.29 — Sanskrit Wikisource (pinned chapter page; Devanagari from the cross-validated transcription in validation/sanskrit_skandha3.json)
At SB 3.5.26 the Lord beyond the senses, 'kAla-vR^ittyA', by the working of time, lays His seed into the guna-made maya through the purusha who is His own self. At SB 3.5.27 the mahat principle arises from the unmanifest 'kAla-choditAt', driven by time.
At SB 3.11.3-4 time is described as inferred in both the subtle and the gross, and its two limits are given — the atom-time that occupies the state of the atom, and the supreme great time that occupies the undifferentiated state of the real. At SB 3.11.5-12 the sequence of units is given: truti, vedha, lava, nimesha, kshana, kashtha, laghu, nadika, muhurta, prahara, yama, day and night, paksha, month, season, ayana and year. At SB 3.11.38: 'kAlo ayaM paramANv-Adir dviparArdhAnta IshvaraH'.