The CUORICINO experiment was an array of 62 TeO$_{2}$ single-crystal bolometers with a total $^{130}$Te mass of $11.3,$kg. The experiment finished in 2008 after more than 3 years of active operating time. Searches for both $0 u$ and $2 u$ double-beta decay to the first excited $0^{+}$ state in $^{130}$Xe were performed by studying different coincidence scenarios. The analysis was based on data representing a total exposure of N($^{130}$Te)$cdot$t=$9.5times10^{25},$y. No evidence for a signal was found. The resulting lower limits on the half lives are $T^{2 u}_{1/2}(^{130} Terightarrow^{130} Xe^{*})>1.3times10^{23},$y (90% C.L.), and $T^{0 u}_{1/2}(^{130} Terightarrow^{130} Xe^{*})>9.4times10^{23},$y (90% C.L.).
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