Túi xách này đáng dùng tiếp.

Túi xách usually means handbag, purse, or sometimes a bag carried by hand. In this sentence, it refers to the bag being talked about.

• túi = bag
• xách = carry by hand

Together, túi xách is a fixed expression for a handbag or similar bag.

In Vietnamese, words like this and that usually come after the noun, not before it.

So:

• túi xách này = this bag
• túi xách đó = that bag

This is normal Vietnamese word order.

Đáng means worth, deserving of, or worthy of. It is often used before an action to show that the action is worthwhile.

So đáng dùng tiếp means:

• worth continuing to use
• still worth using

It gives the idea that the bag is good enough to keep using.

Dùng means to use.
Tiếp means continuing, further, or on.

Together, dùng tiếp means:

• continue using
• keep using
• use further

So the speaker is saying the bag should not be discarded yet; it can still be used.

Vietnamese often leaves out a copula like English is in sentences like this.

So instead of needing something like This bag is worth continuing to use, Vietnamese can simply say:

Túi xách này đáng dùng tiếp.

This is a very common feature of Vietnamese grammar.

Yes. Đáng + verb phrase is a common pattern meaning worth doing.

Examples:

• đáng xem = worth watching
• đáng mua = worth buying
• đáng giữ lại = worth keeping
• đáng thử = worth trying

So đáng dùng tiếp follows the same pattern very naturally.

Yes, usually. Tiếp adds the idea of continuing, so it strongly suggests the bag has already been used before and the speaker thinks it is still good enough to keep using.

So the sentence implies something like:

• it is not too damaged
• it is still useful
• there is no need to replace it yet

A classifier such as cái can be used with many objects, but it is not always required.

Both of these are possible:

• Túi xách này đáng dùng tiếp.
• Cái túi xách này đáng dùng tiếp.

Without cái, the sentence is still completely natural. Adding cái can make it sound a bit more conversational or specific, but it is not necessary here.

The sentence is understandable and grammatical. It sounds like a judgment: the bag is still worth keeping in use.

Depending on context, Vietnamese speakers might also say:

• Túi xách này vẫn còn dùng được. = This bag is still usable.
• Túi này vẫn nên dùng tiếp. = This bag should still be used.
• Túi này còn tốt, dùng tiếp được. = This bag is still good; it can continue to be used.

So đáng dùng tiếp is fine, but it has a slightly evaluative tone: the bag is worthy of continued use.

It could be interpreted that way in some contexts, but that English translation is usually a bit too emotional or strong.

The most natural English meanings are:

• is worth continuing to use
• is still worth using

Deserves to be used more sounds more personal or expressive, while đáng dùng tiếp here is more practical and matter-of-fact.