The cylindrical Hastings-Levitov$(0)$ admits a single infinite connected tree (arm). For a cylinder of width $N$, and particles of size $λ$, we consider the last time $\upsilon_{N, λ}$, that a finite tree receives a particle. We prove that $\frac{cN^2}{λ^3}<\mathbb{E}[\upsilon_{N, λ}]< \frac{CN^2}{λ^3}$. Furthermore, we establish an exponential tail for $\upsilon_{N, λ}$.
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