1 to make invidious comparisons

2 to compete with

3 to emulate

1 to climb (by pulling oneself up)

2 to implicate

3 to claim connections of higher status

1 to clamber up

2 (of prices etc) to rise

1 rock climbing

2 to climb a rockface

1 to climb

1 to cling to the rich and powerful (idiom); to advance one's career by currying favor

2 social climbing

1 to use claims to kinship or friendship to climb socially (idiom)

1 to cling to the powerful and rich (idiom); social climbing

1 lit. to cling to the high, connect to the rich (idiom); to try to attach oneself to the rich and powerful

2 social climbing

1 too high to reach (idiom); eminent and unapproachable